Finding the Fourth Proportional to 9,113.98, 12,577.22 and 5,136.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,113.98 : 12,577.22 = 5,136.38 : x
2. Step 2: Convert to fraction form
   9,113.98/12,577.22 = 5,136.38/x
3. Step 3: Cross multiply
   9,113.98x = 12,577.22 × 5,136.38
4. Step 4: Simplify right side
   9,113.98x = 64,601,381.26
5. Step 5: Solve for x
   x = 64,601,381.26/9,113.98
6. Step 6: Final answer
   x = 7,088.16